Abstract: This method and the apparatus for carrying out same are characterised essentially in that, during the weaving of the tape of the element, two separate filaments are inserted into the texture for constituting the fastening or coupling members propers by engaging by turns one and the other filaments between the warp yarns, at spaced intervals, to constitute at each point of insertion a transverse loop wound in one direction for one filament and in the opposite directions for the other filament, and meanwhile these filaments are disposed in the longitudinal direction on the side opposite to the coupling members proper, whereby these filaments constitute two variable-pitch helices of which the loops wound in opposite directions are imbricated, every other loop belonging to the same helix.